Answer:
The length of the rectangle is 12cm and the area of the rectangle is 60cm2.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2
52+b2=132
25+b2=169
25−25+b2=169−25
b2=144
√b2=√144
b=±12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.
The area of a rectangle is given by multiplying the width by the length.
A=(5cm)(12cm)
A=60cm2
Answer:
x - sqrt(2)
Step-by-step explanation:
x - sqrt(2)
Answer:
54 feet
Step-by-step explanation:
We can use proportions
1 inch 27 inches
--------- = ------------
2 feet x feet
Using cross products
1x = 54
The building is 54 feet
Answer:
88+6=94
Step-by-step explanation:
Add the empty bottles
Answer:
300
Step-by-step explanation:
when rounding to the nearest 10,
132 is 130
68 is 70
42 is 40
and 78 is 80
add them all and it is 320
which then that could be rounded to 300.
